Integration of acoustic absorbing porous components in vehicle environment using a novel finite element solver

Authors

  • M.A. Hamdi STRACO, SA 20, Rue du Fonds Pernant, 60471 Compiegne Cedex, France
  • L. Mebarek STRACO, SA 20, Rue du Fonds Pernant, 60471 Compiegne Cedex, France
  • A. Omrani STRACO, SA 20, Rue du Fonds Pernant, 60471 Compiegne Cedex, France
  • N. Atalla GAUS, Department of Mechanical Engineering, University of Sherbrooke, Sherbrooke, Que., Canada

Keywords:

Elastic waves, Finite element method, Integral equations, Porous materials, Vehicles, Biot's equation, Interstitial fluids, Pro-elastic materials (PEM)

Abstract

A new mixed finite element formulation very well adapted to analyze the propagation of elastic and acoustic waves in porous absorbing media is presented. The proposed new formulation is based on modified Biot's equations written in terms of the skeleton displacement and the acoustic pressure in the interstitial fluid. It generalizes the previous formulation proposed by Professor Atalla & Co-authors, and has the great advantage over existing formulations of automatically satisfying all boundary conditions without having to compute surface coupling integrals at porous sub-domain interfaces. When elastic forces in the skeleton are neglected, the formulation automatically degenerates to an equivalent fluid model taking into account inertial coupling with the skeleton. This generalized mixed formulation and associated equivalent fluid model has been implemented by STRACO (France) in RAYON-PEM Solver. It is shown in this paper, that the numerical results predicted with RAYON-PEM agrees very well with experimental results using impedance tube tests and vibration measurements on multi-layered plates.

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Published

2000-09-01

How to Cite

1.
Hamdi M, Mebarek L, Omrani A, Atalla N. Integration of acoustic absorbing porous components in vehicle environment using a novel finite element solver. Canadian Acoustics [Internet]. 2000 Sep. 1 [cited 2023 Sep. 27];28(3):24-8. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1275

Issue

Vol. 28 No. 3 (2000)

Section

Proceedings of the Acoustics Week in Canada

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